Results 41 to 50 of about 480,873 (352)

Deformation of a flexible fiber in a viscous flow past an obstacle [PDF]

, 2015
We study the deformation and transport of elastic fibers in a viscous Hele-Shaw flow with curved streamlines. The variations of the global velocity and orientation of the fiber follow closely those of the local flow velocity. The ratios of the curvatures
Auradou, H., D'Angelo, M. V., Hulin, J-P, Lopez, H. M.   +3 more
core   +3 more sources

Determination of orthodontic bracket and tooth adaptation using an X-ray micro-computer tomography scanner

MethodsX, 2020
The determination of the orthodontic brackets’ adaptation to the curvatures of teeth is a difficult topic to study. The complexity arise due to the different designs of their fitting surfaces, margins and curvatures of orthodontic brackets.
Yaseen Fakir, BChD, MSc, Colm Keanly, Riaan Mulder, BChD, MSC, PhD   +2 more
doaj   +1 more source

TOTAL SCALAR CURVATURE AND HARMONIC CURVATURE

Taiwanese Journal of Mathematics, 2014
On a compact n-dimensional manifold, it has been conjectured that a critical point metric of the total scalar curvature, restricted to the space of metrics with constant scalar curvature of unit volume, will be Einstein. This conjecture was proposed in 1984 by Besse, but has yet to be proved.
Yun, Gabjin, Chang, Jeongwook, Hwang, Seungsu   +2 more
openaire   +3 more sources

A characterization of ccr-curves in Rm; pp. 217–224 [PDF]

Proceedings of the Estonian Academy of Sciences, 2008
We study the curve in Rm for which the ratios between two consecutive curvatures are constant (ccr-curves). We show that closed ccr-curves in Euclidean space Rm are of finite type.
Günay Öztürk, Kadri Arslan, H. Hilmi Hacisalihoglu   +2 more
doaj   +1 more source

Geometric analysis of Lorentzian distance function on spacelike hypersurfaces [PDF]

, 2009
Some analysis on the Lorentzian distance in a spacetime with controlled sectional (or Ricci) curvatures is done. In particular, we focus on the study of the restriction of such distance to a spacelike hypersurface satisfying the Omori-Yau maximum ...
Alias, Luis J., Hurtado, Ana, Palmer, Vicente   +2 more
core   +3 more sources

Sectional curvatures distribution of complexity geometry

Journal of High Energy Physics, 2022
In the geometric approach to defining complexity, operator complexity is defined as the distance in the operator space. In this paper, based on the analogy with the circuit complexity, the operator size is adopted as the metric of the operator space ...
Qi-Feng Wu
doaj   +1 more source

Qualar curvatures of pseudo Riemannian manifolds and pseudo Riemannian submanifolds

AIMS Mathematics, 2021
Some relations involving the qualar and null sectional curvatures for a pseudo Riemannian manifold are obtained. These curvatures are also investigated for pseudo-Riemannian submanifolds.
Mehmet Gülbahar
doaj   +1 more source

Analysis of the Non-singular Wyman-Schwarzschild Metric

, 1994
The analog of the Schwarzschild metric is explored in the context of Non-Singular Gravity. Analytic results are developed describing redshifts, curvatures and topological features of the spacetime.
Cornish, Neil
core   +1 more source

Spatial Generalized Octonionic Curves

Axioms
This study investigates curves in a 7-dimensional space, represented by spatial generalized octonion-valued functions of a single variable, where the general octonions include real, split, semi, split semi, quasi, split quasi, and para octonions.
Mücahit Akbıyık, Jeta Alo, Seda Yamaç Akbıyık   +2 more
doaj   +1 more source

A curvature theory for discrete surfaces based on mesh parallelity

, 2009
We consider a general theory of curvatures of discrete surfaces equipped with edgewise parallel Gauss images, and where mean and Gaussian curvatures of faces are derived from the faces' areas and mixed areas.
Bobenko, Alexander I., Pottmann, Helmut, Wallner, Johannes   +2 more
core   +4 more sources